A student from Isabela State University launched a rocket that has a payload of atmospheric sensors. The payload contains an altimeter and a digital barometer. From one of the University’s class room where they built a data receiving area, the altimeter sends 10 values of altitude, 5600 ft, 5000 ft, 4600ft, 4100 ft, 3800 ft, 3500 ft, 3150 ft, 2900 ft, 2300 ft, and 1300 ft. But the data of the barometer wasn’t sent because of a circuit anomaly. But the programmer assured that it will be recorded in the memory inside the payload’s microcontroller. Assuming the air density to be 1.18 ??/?3 , what pressure we should expect depending on the data sent by the altimeter?

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A student from Isabela State University launched a rocket that has a payload of atmospheric sensors. The payload contains
an altimeter and a digital barometer. From one of the University’s class room where they built a data receiving area, the
altimeter sends 10 values of altitude, 5600 ft, 5000 ft, 4600ft, 4100 ft, 3800 ft, 3500 ft, 3150 ft, 2900 ft, 2300 ft, and 1300 ft.
But the data of the barometer wasn’t sent because of a circuit anomaly. But the programmer assured that it will be recorded
in the memory inside the payload’s microcontroller. Assuming the air density to be 1.18 ??/?3
, what pressure we should
expect depending on the data sent by the altimeter?

Expert Solution
Step 1

Using the barometric formula, the pressure (P) at altitude h be defined as,

Ph=29.92exp-0.0000366h

Step 2

Since the height is given in ft, therefore, the pressure will be in inches of Mercury [inHg].

Re-write the above equation and substitute the altitude value,

Ph=29.92exp-0.0000366hFor h =5600 ftP5600=29.92exp-0.00003665600 inHg=29.920.81467 inHg=24.3749 inHgFor h =5000 ftP5000=29.92exp-0.00003665000 inHg=24.9164 inHgFor h= 4600 ftP4600=29.92exp-0.00003664600 inHg=25.2838 inHgFor h=4100 ftP4100=29.92exp-0.00003664600 inHg=25.7508 inHgFor h=3800 ftP3800=29.92exp-0.00003663800 inHg=26.0351 inHgFor h=3500 ftP3500=29.92exp-0.00003663500 inHg=26.3225 inHg

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